There is a special right triangle in this picture ( with angles 30°- 60°- 90° ). Sides of that triangle are: a, a/2 and a√3/2.
a = 10
h = a/2
h = 10/2 = 5
Answer: A ) 5 inches
Answer:
Total number of marbles = 10+20+30 = 60 out of which 20 are blue.
Probability of first marble being blue = 20/60
Probability of second marble being blue = 19/59
Probability of third marble being blue = 18/58
Probability of fourth marble being blue = 17/57
Probability of fifth marble being blue = 16/56
So probability of all marble being blue when five marbles are drawn from the box = (20/60)*(19/59)*(18/58)*(17/57)*(16/56) = 34/11977 = 0.00283877432
Step-by-step explanation:
Try this:
1) note that weight of pure antifreeze before mixing and after mixing is the same. So, if 'x' is weight of pure antifreeze in 50% solution, it is possible to make up equation before mixing: 0.5x+0.2*90.
2) there are 0.2*90=18 gal. of pure antifreeze in the 20% solution. If 'x' gal. is the weight of pure antifreeze in 50% sol. and 18 gal. is the weight of pure antifreeze in 20% sol., it is possible to make up an equation after mixing: 0.4(x+18).
3) using the both parts: 0.5x+0.2*90=0.4(x+18) ⇒ x=54 gal. of <u>pure</u> weight.
4) to find 50% solution of 54 gal. pure weight just 54:0.5=108 gal.
Answer: 108 gal.
Marlins and Yankees both simplify to 1/16
